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2263425420 = 2235375319237
BaseRepresentation
bin1000011011101001…
…0010000110001100
312211202000220222010
42012322102012030
514113414103140
61012333021220
7110042540634
oct20672220614
95752026863
102263425420
11a61710023
12532024810
132a0c0a7a9
1417686b6c4
15d3a99880
hex86e9218c

2263425420 has 96 divisors (see below), whose sum is σ = 6632031168. Its totient is φ = 576156672.

The previous prime is 2263425391. The next prime is 2263425427. The reversal of 2263425420 is 245243622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2263425427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108042 + ... + 127278.

It is an arithmetic number, because the mean of its divisors is an integer number (69083658).

Almost surely, 22263425420 is an apocalyptic number.

2263425420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316015584).

2263425420 is an abundant number, since it is smaller than the sum of its proper divisors (4368605748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2263425420 is a wasteful number, since it uses less digits than its factorization.

2263425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339 (or 19337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2263425420 is about 47575.4707806449. The cubic root of 2263425420 is about 1312.9717937438.

The spelling of 2263425420 in words is "two billion, two hundred sixty-three million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 53 60 74 106 111 148 159 185 212 222 265 318 370 444 530 555 636 740 795 1060 1110 1590 1961 2220 3180 3922 5883 7844 9805 11766 19237 19610 23532 29415 38474 39220 57711 58830 76948 96185 115422 117660 192370 230844 288555 384740 577110 711769 1019561 1154220 1423538 2039122 2135307 2847076 3058683 3558845 4078244 4270614 5097805 6117366 7117690 8541228 10195610 10676535 12234732 14235380 15293415 20391220 21353070 30586830 37723757 42706140 61173660 75447514 113171271 150895028 188618785 226342542 377237570 452685084 565856355 754475140 1131712710 2263425420